Search a number
-
+
234967670640 = 24345239716253
BaseRepresentation
bin1101101011010100101…
…0100001111101110000
3211110111022010101220000
43122311022201331300
512322203210430030
6255535340350000
722655501150433
oct3326512417560
9743438111800
10234967670640
119071614075a
1239656245300
1319207933851
14b5301b381a
1561a326a860
hex36b52a1f70

234967670640 has 400 divisors, whose sum is σ = 860391056448. Its totient is φ = 59312259072.

The previous prime is 234967670593. The next prime is 234967670657. The reversal of 234967670640 is 46076769432.

234967670640 is a `hidden beast` number, since 23 + 496 + 7 + 6 + 70 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14448754 + ... + 14465006.

Almost surely, 2234967670640 is an apocalyptic number.

234967670640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234967670640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430195528224).

234967670640 is an abundant number, since it is smaller than the sum of its proper divisors (625423385808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234967670640 is a wasteful number, since it uses less digits than its factorization.

234967670640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16398 (or 16383 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 234967670640 in words is "two hundred thirty-four billion, nine hundred sixty-seven million, six hundred seventy thousand, six hundred forty".